Abstract

The technique of shortcuts to adiabaticity (STA) has attracted broad attention due to their possible applications in quantum information processing and quantum control. However, most studies published so far have been only focused on Hermitian systems under the rotating-wave approximation (RWA). In this paper, we propose a modified shortcuts to adiabaticity technique to realize population transfer for a non-Hermitian system without RWA. We work out an exact expression for the control function and present examples consisting of two-and three-level systems with decay to show the theory. The results suggest that the shortcuts to adiabaticity technique presented here is robust for fast passages. We also find that the decay has small effect on the population transfer in the three-level system. To shed more light on the physics behind this result, we reduce the quantum three-level system to an effective two-level one with large detunings. The shortcuts to adiabaticity technique of effective two-level system is studied. Thereby the high-fidelity population transfer can be implemented in non-Hermitian systems by our method, and it works even without RWA.

Highlights

  • Population transfer by adiabatic evolution is among the most popular methods for coherent atomic manipulation [1,2,3,4,5,6,7,8,9,10]

  • In the case of large detuning, we reduce the three-level system to an effective two-level system

  • We have presented a method to design a shortcut to adiabaticity for a non-Hermitian system [55, 56] without rotating-wave approximation (RWA)

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Summary

Introduction

Population transfer by adiabatic evolution is among the most popular methods for coherent atomic manipulation [1,2,3,4,5,6,7,8,9,10]. Recent developments in physical implementation lead to strong coupling between qubit and cavity modes [53, 54], which requires a careful consideration of the effect of counter-rotating terms. This motivate us to ask: if can we design a shortcuts to adiabaticity technique for an open system with the counter-rotating terms?. We propose a renewed shortcuts to adiabaticity technique for non-Hermitian quantum systems beyond RWA. By using transitionless quantum driving method, we determine the exact control to speed up the adiabatic population transfer We apply it into the twoand three-level systems with decay and without RWA.

Transitionless driving applied to a decaying two-level atom beyond the RWA
Effective two-level system for large single-photon detuning
Conclusion
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